Find all values of real numbers $a,b,c, d$ satisfying the following condition
$$(b+c+d)^{2010}=3a$$ $$(a+c+d)^{2010}=3b$$ $$(a+b+d)^{2010}=3c$$ $$(a+b+c)^{2010}=3d$$
Find the values of $(a,b,c ,d.)$
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algebra-precalculus
elementary-number-theory
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2@HarshKumar Nice work done to copy the accepted answer from your own question and post it here. – 2017-01-16
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0@Rohan This is my own answer. See here https://math.stackexchange.com/questions/2060060/find-quadruple-solutions – 2017-01-16
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0@HarshKumar Can't believe you just went back and edited that old answer to conceal the plagiarism. I rolled that back for you. – 2017-01-16